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Finding the Fourth Proportional to 21,665.90, 32,501.01 and 7,811.66

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Solution

The fourth proportional to 21,665.90, 32,501.01 and 7,811.66 is: 11,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.90 : 32,501.01 = 7,811.66 : x
  2. Step 2: Convert to fraction form
    21,665.90/32,501.01 = 7,811.66/x
  3. Step 3: Cross multiply
    21,665.90x = 32,501.01 × 7,811.66
  4. Step 4: Simplify right side
    21,665.90x = 253,886,839.78
  5. Step 5: Solve for x
    x = 253,886,839.78/21,665.90
  6. Step 6: Final answer
    x = 11,718.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.